The noun aviary means the large cage or closed space where birds are kept as pets.
Synonyms are barn, birdhouse, columbary, or volary.
The word origins from Latin (1570s) aviarium meaning “place in which birds are kept”. It is neuter of aviarius meaning “of birds”, from avis meaning “bird”.
Everyone can check my birds in my aviary.
Mr. Smith made an aviary for a guest to walk through.
I wish I could afford an aviary for my birds.